9 citations · 11 across the 6 of their papers we have counts for
7 papers
Synthesis of Lyapunov Functions using Formal Verification
Lukas Munser, Grigory Devadze, Stefan Streif
Recent employments of SMT solvers within the Lyapunov function synthesis provided effective tools for automated construction of Lyapunov functions alongside with sound computer-ass…
Formal verification of a controller implementation in fixed-point arithmetic
Lars Flessing, Grigory Devadze, Stefan Streif
For the implementations of controllers on digital processors, certain limitations, e.g. in the instruction set and register length, need to be taken into account, especially for sa…
Extraction of a computer-certified ODE solver
Grigory Devadze, Lars Flessing, Stefan Streif
Reliably determining system trajectories is essential in many analysis and control design approaches. To this end, an initial value problem has to be usually solved via numerical a…
Prototypical Description and Controller Design for a Set of Systems Using v-gap Based Clustering
Lukas Munser, Arne-Jens Hempel, Grigory Devadze +1
We present an approach to design stabilizing controllers for a set of linear systems without restrictions regarding their modeling order. To this end, the systems are treated as ab…
Stacked adaptive dynamic programming with unknown system model
Pavel Osinenko, Thomas Göhrt, Grigory Devadze +1
Adaptive dynamic programming is a collective term for a variety of approaches to infinite-horizon optimal control. Common to all approaches is approximation of the infinite-horizon…
Computer-assisted proofs for Lyapunov stability via Sums of Squares certificates and Constructive Analysis
Grigory Devadze, Victor Magron, Stefan Streif
We provide a computer-assisted approach to ensure that a given continuous or discrete-time polynomial system is (asymptotically) stable. Our framework relies on constructive analys…
A note on constructive treatment of eigenvectors
Pavel Osinenko, Grigory Devadze, Stefan Streif
The eigenvalue problem plays a central role in linear algebra and its applications in control and optimization methods. In particular, many matrix decompositions rely upon computat…